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JSS3: MATHEMATICS - 1ST TERM

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  1. Binary Number System I | Week 1
    5Topics
    |
    1 Quiz
  2. Binary Number System II | Week 2
    6Topics
    |
    1 Quiz
  3. Word Problems I | Week 3
    4Topics
    |
    1 Quiz
  4. Word Problems with Fractions II | Week 4
    1Topic
    |
    1 Quiz
  5. Factorisation I | Week 5
    4Topics
    |
    1 Quiz
  6. Factorisation II | Week 6
    3Topics
    |
    1 Quiz
  7. Factorisation III | Week 7
    3Topics
    |
    1 Quiz
  8. Substitution & Change of Subject of Formulae | Week 8
    2Topics
    |
    1 Quiz
  9. Simple Equations Involving Fractions | Week 9
    3Topics
    |
    1 Quiz
  10. Word Problems | Week 10
    1Topic
    |
    1 Quiz
Lesson 1, Topic 3
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Converting from Other Bases to Base 10 Using the Expanded Notation

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a. 107 eight

The table shows the place values for 107. Remember that we count 0 from the last digit from right to left. We multiply each digit by the base (which is 8 for this particular question) raised to the power of the place value.

210
107

= 1 x 82 + 0 x 81 + 7 x 8o

64 + 0 + 7 = 71ten

b. 1211three

3210
1211

1211 = 1 x 33 + 2 x 32 + 1 x 31 + 1 x 3o

27 + 18 + 3 + 1 =  49ten

c. 203six 

210
203

= 2 x 62 + 0 x 61 + 3 x 6o

72 + 0 + 3 =  75ten

d. 4102five

3210
4102

4x 53 + 1 x 52 + 0 x 51 + 2 x 5o

500 + 25 + 0 + 2 =  527ten

e. 13011four

43210
13011

= 1 x 44 + 3 x 43 + 0 x 42 + 1 x 41 + 1×4o

256 + 192 + 0 + 4 + 1 =  453

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